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Simplifying 4(v + 5) = -7v + -35 Reorder the terms: 4(5 + v) = -7v + -35 (5 * 4 + v * 4) = -7v + -35 (20 + 4v) = -7v + -35 Reorder the terms: 20 + 4v = -35 + -7v Solving 20 + 4v = -35 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. 20 + 4v + 7v = -35 + -7v + 7v Combine like terms: 4v + 7v = 11v 20 + 11v = -35 + -7v + 7v Combine like terms: -7v + 7v = 0 20 + 11v = -35 + 0 20 + 11v = -35 Add '-20' to each side of the equation. 20 + -20 + 11v = -35 + -20 Combine like terms: 20 + -20 = 0 0 + 11v = -35 + -20 11v = -35 + -20 Combine like terms: -35 + -20 = -55 11v = -55 Divide each side by '11'. v = -5 Simplifying v = -5
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